Mục lục: Spectral and Dynamical Stability of Nonlinear Waves

Spectral and Dynamical Stability of Nonlinear Waves

This book unifies the dynamical systems and functional analysis approaches to the linear and nonlinear stability of waves. It synthesizes fundamental ideas of the past 20+ years of research, carefully balancing theory and application. The book isolates and methodically develops key ideas by working...

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Những tác giả chính:	Kapitula, Todd. (Tác giả, http://id.loc.gov/vocabulary/relators/aut), Promislow, Keith. (http://id.loc.gov/vocabulary/relators/aut)
Tác giả của công ty:	SpringerLink (Online service)
Định dạng:	Điện tử eBook
Ngôn ngữ:	English
Được phát hành:	New York, NY : Springer New York : Imprint: Springer, 2013.
Phiên bản:	1st ed. 2013.
Loạt:	Applied Mathematical Sciences, 185
Những chủ đề:	Partial differential equations. Statistical physics. Dynamics. Ergodic theory. Partial Differential Equations. Applications of Nonlinear Dynamics and Chaos Theory. Dynamical Systems and Ergodic Theory.
Truy cập trực tuyến:	https://doi.org/10.1007/978-1-4614-6995-7
Các nhãn:	Thêm thẻ Không có thẻ, Là người đầu tiên thẻ bản ghi này!

Mục lục:

Introduction
Background material and notation
Essential and absolute spectra
Dynamical implications of spectra: dissipative systems
Dynamical implications of spectra: Hamiltonian systems
Dynamical implications of spectra: Hamiltonian systems
Point spectrum: reduction to finite-rank eigenvalue problems
Point spectrum: linear Hamiltonian systems
The Evans function for boundary value problems
The Evans function for Sturm-Liouville operators on the real line
The Evans function for nth-order operators on the real line
Index
References. .

Spectral and Dynamical Stability of Nonlinear Waves

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